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arXiv · 1907.02516

KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior

Bruno Le Floch·Márk Mezei
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Abstract

Two-dimensional CFTs and integrable models have an infinite set of conserved KdV higher spin currents. These currents can be argued to remain conserved under the $T\bar{T}$ deformation and its generalizations. We determine the flow equations the KdV charges obey under the $T\bar{T}$ deformation: they behave as probes "riding the Burgers flow" of the energy eigenvalues. We also study a Lorentz-breaking $T_{s+1}\bar{T}$ deformation built from a KdV current and the stress tensor, and find a super-Hagedorn growth of the density of states.

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Bruno Le Floch, Márk Mezei. 2019-07-04. KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior. https://doi.org/10.21468/scipostphys.7.4.043

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